The solid shown is constructed from a cylinder and two hemispheres with dimensions as shown. Find the volume of this solid to th
e nearest cubic unit.
1 answer:
Answer:
Volume of solid = 10,466.67 unit² (Approx)
Step-by-step explanation:
Given:
Height of cylinder = 20 unit
Radius of hemisphere = 10 unit
Radius of cylinder = 10 unit
Two hemisphere = 1 sphere
Find:
Volume of solid.
Computation:
Volume of solid = Volume of cylinder + Volume of sphere
Volume of solid = πr²h + 4 /3[πr]³
Volume of solid = π[r²h + (4 /3)(r)³]
Volume of solid = 3.14[(10)²(20) + (4 /3)(10)³]
Volume of solid = 3.14[2,000 + 1333.34]
Volume of solid = 10,466.67 unit² (Approx)
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Step-by-step explanation:
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Generally the sample mean of the output temperature is
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Generally the difference of the sample mean of the input temperature and that of the output temperature is
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Generally the standard deviation is mathematically represented as
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Generally the degree of freedom is mathematically represented as
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Generally the probability of t obtained from the t - distribution table at a degree of freedom of is
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From the values obtained we see that hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The cooling system changes the temperature of the water by 6 degrees.